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In this the window of the Sobolev gradient technique to the problem of minimizing a Schrödinger functional associated with a nonlinear Schrödinger equation.
This paper shows that each eigenvalue of the stationary Schrodinger equation can be characterized as the minimum value of a performance functional associated with a stochastic control problem.
In the sequel, we denote by the linear regular functional associated with and by the linear regular functional associated with.
In Section 4, we study the decay rate of the energy functional associated with problem (1.6).
In this section, we discuss the decay rates of the energy functional associated with problem (1.6).
which is clearly the energy functional associated with the gradient descent flow (20).
Similar(30)
We derive new mean value theorems for functionals associated with Hadamard inequality for convex functions on the coordinates.
In this theorem, we prove the exponential convexity of the functionals associated with their respective families of functions.
In this theorem, we prove log-convexity in J-sense, log-convexity and related results of the functionals associated with their respective families of functions.
In this paper we deal with the topological asymptotic expansion of a class of shape functionals associated with elliptic differential operators of order 2m, m⩾1.
In this section we establish the relation between the regular functionals associated with the sequences and.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com